Acceleration of the process of entering stationary mode for solutions of a linearized system of viscous gas dynamics. I. (English. Russian original) Zbl 1393.35191
Mosc. Univ. Math. Bull. 73, No. 1, 24-29 (2018); translation from Vestn. Mosk. Univ., Ser. I 73, No. 1, 26-32 (2018).
Summary: The problem of construction of control Dirichlet boundary conditions accelerating the convergence of the corresponding solution to its steady state for given initial conditions is studied for the linearized system of differential equations approximately describing the dynamics of viscous gas. The algorithm is described and estimates of convergence rate are presented for the differential case.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76N15 | Gas dynamics (general theory) |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
viscous gas dynamicsReferences:
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